Orthogonality equation with two unknown functions

DOI10.1007/s00010-015-0359-xzbMath1342.39023OpenAlexW569184670WikidataQ59473034 ScholiaQ59473034MaRDI QIDQ264145

Jacek Chmieliński

Publication date: 6 April 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-015-0359-x

zbMATH Keywords

Hilbert spacesinner product spacelinear isometriescomplementary mappingsorthogonality equationorthogonality preserving mappings

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52) Quadratic and bilinear forms, inner products (15A63) Linear preserver problems (15A86)

Related Items (10)

Orthogonality preserving property for pairs of operators on Hilbert \(C^*\)-modules ⋮ Report of meeting: The fifteenth Katowice-Debrecen winter seminar, Będlewo (Poland), January 28--31, 2015 ⋮ Orthogonality preserving pairs of operators on Hilbert C₀(Z)-modules ⋮ Decomposition of two functions in the orthogonality equation ⋮ A note on the orthogonality equation with two functions ⋮ Decomposition of functions between Banach spaces in the orthogonality equation ⋮ Unnamed Item ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ On the stability of the orthogonality equation and the orthogonality-preserving property with two unknown functions ⋮ A functional equation with biadditive functions

Cites Work

• Unnamed Item
• On mappings preserving inner product modulo an ideal
• Linear mappings approximately preserving orthogonality
• On Wigner's theorem: Remarks, complements, comments, and corollaries
• A variant of Wigner's functional equation
• Decomposition of mappings approximately inner product preserving
• Orthogonality Preserving Property and its Ulam Stability

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